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Simplifying -3(x + 8) = 9(4 + -1x) Reorder the terms: -3(8 + x) = 9(4 + -1x) (8 * -3 + x * -3) = 9(4 + -1x) (-24 + -3x) = 9(4 + -1x) -24 + -3x = (4 * 9 + -1x * 9) -24 + -3x = (36 + -9x) Solving -24 + -3x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + -3x + 9x = 36 + -9x + 9x Combine like terms: -3x + 9x = 6x -24 + 6x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 6x = 36 + 0 -24 + 6x = 36 Add '24' to each side of the equation. -24 + 24 + 6x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 36 + 24 6x = 36 + 24 Combine like terms: 36 + 24 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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